1380309120 has 384 divisors, whose sum is σ = 5144227200. Its totient is φ = 349747200.

The previous prime is 1380309089. The next prime is 1380309137. The reversal of 1380309120 is 219030831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9141045 + ... + 9141195.

It is an arithmetic number, because the mean of its divisors is an integer number (13396425).

Almost surely, 2^1380309120 is an apocalyptic number.

1380309120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572113600).

1380309120 is an abundant number, since it is smaller than the sum of its proper divisors (3763918080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1380309120 is a wasteful number, since it uses less digits than its factorization.

1380309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1380309120 is about 37152.5116243842. The cubic root of 1380309120 is about 1113.4194044238.

Adding to 1380309120 its reverse (219030831), we get a palindrome (1599339951).

The spelling of 1380309120 in words is "one billion, three hundred eighty million, three hundred nine thousand, one hundred twenty".